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Finding the Fourth Proportional to 2,805.95, 3,872.23 and 1,547.05

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Solution

The fourth proportional to 2,805.95, 3,872.23 and 1,547.05 is: 2,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.95 : 3,872.23 = 1,547.05 : x
  2. Step 2: Convert to fraction form
    2,805.95/3,872.23 = 1,547.05/x
  3. Step 3: Cross multiply
    2,805.95x = 3,872.23 × 1,547.05
  4. Step 4: Simplify right side
    2,805.95x = 5,990,506.33
  5. Step 5: Solve for x
    x = 5,990,506.33/2,805.95
  6. Step 6: Final answer
    x = 2,134.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.